Optimal investment in product-flexible manufacturing capacity
Management Science
Lectures on modern convex optimization: analysis, algorithms, and engineering applications
Lectures on modern convex optimization: analysis, algorithms, and engineering applications
A Joint Location-Inventory Model
Transportation Science
Interior Point Methods for Second-Order Cone Programming and OR Applications
Computational Optimization and Applications
Stochastic Transportation-Inventory Network Design Problem
Operations Research
Cuts for mixed 0-1 conic programming
Mathematical Programming: Series A and B
Trade-offs Between Customer Service and Cost in Integrated Supply Chain Design
Manufacturing & Service Operations Management
Integrated Stochastic Supply-Chain Design Models
Computing in Science and Engineering
Conic mixed-integer rounding cuts
Mathematical Programming: Series A and B
Lifting for conic mixed-integer programming
Mathematical Programming: Series A and B
Manufacturing & Service Operations Management
Polymatroids and mean-risk minimization in discrete optimization
Operations Research Letters
The submodular knapsack polytope
Discrete Optimization
A computational study for common network design in multi-commodity supply chains
Computers and Operations Research
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We study several joint facility location and inventory management problems with stochastic retailer demand. In particular, we consider cases with uncapacitated facilities, capacitated facilities, correlated retailer demand, stochastic lead times, and multicommodities. We show how to formulate these problems as conic quadratic mixed-integer problems. Valid inequalities, including extended polymatroid and extended cover cuts, are added to strengthen the formulations and improve the computational results. Compared to the existing modeling and solution methods, the new conic integer programming approach not only provides a more general modeling framework but also leads to fast solution times in general.